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Steps in Commutative Algebra Book

Steps in Commutative Algebra
Steps in Commutative Algebra, , Steps in Commutative Algebra has a rating of 4.5 stars
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  • Steps in Commutative Algebra
  • Written by author R. Y. Sharp
  • Published by Cambridge University Press, January 2001
  • Introductory account of commutative algebra, aimed at students with a background in basic algebra. Booknews Written as a bridge for undergraduate students from topics in ring theory to commutative algebra, this monograph by Sharp (U, of Sh
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Book Categories

Authors

Preface to the 1st Edition
Preface to the 2nd Edition
1Commutative rings and subrings1
2Ideals18
3Prime ideals and maximal ideals37
4Primary decomposition61
5Rings of fractions80
6Modules101
7Chain conditions on modules123
8Commutative Noetherian rings145
9More module theory167
10Modules over principal ideal domains185
11Canonical forms for square matrices208
12Some applications to field theory220
13Integral dependence on subrings243
14Affine algebras over fields264
15Dimension theory288
16Regular sequences and grade311
17Cohen-Macaulay rings328
Bibliography345
Index347


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